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Finding the Third Proportional to 428,678 and 631,173

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Solution

The third proportional to 428,678 and 631,173 is: 929,320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,678 : 631,173 = 631,173 : x
  2. Step 2: Convert to fraction form
    428,678/631,173 = 631,173/x
  3. Step 3: Cross multiply
    428,678x = 631,173 × 631,173
  4. Step 4: Simplify right side
    428,678x = 398,379,355,929
  5. Step 5: Solve for x
    x = 398,379,355,929/428,678
  6. Step 6: Final answer
    x = 929,320.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.